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Finding the Fourth Proportional to 294,751.58, 442,220.78 and 105,207.75

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Solution

The fourth proportional to 294,751.58, 442,220.78 and 105,207.75 is: 157,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,751.58 : 442,220.78 = 105,207.75 : x
  2. Step 2: Convert to fraction form
    294,751.58/442,220.78 = 105,207.75/x
  3. Step 3: Cross multiply
    294,751.58x = 442,220.78 × 105,207.75
  4. Step 4: Simplify right side
    294,751.58x = 46,525,052,741.01
  5. Step 5: Solve for x
    x = 46,525,052,741.01/294,751.58
  6. Step 6: Final answer
    x = 157,844.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.